In △ABC, if AB = AC and ∠BAC = 40&

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In △ABC, if AB = AC and ∠BAC = 40°, then the measure of ∠B is:

Options:

60°

40°

70°

50°

Correct Answer:

70°

Explanation:

As , AB = AC

So, ABC is an isosceles triangle.

⇒ ∠ABC = ∠ACB

In triangle ABC ,

∠ABC + ∠ACB + ∠BAC = 180º

∠ABC + ∠ABC + 40º = 180º

2∠ABC = 140º

∠ABC = 70º